Juno is taking a taxi. The table represents a linear function and shows the amount she owed after various numbers of miles traveled. Is the rate of change 2.25?Amount Juno Owed for a TaxiMilesAmount Owed (dollars)12.524.753749.25511.5

Compare consecutive entries in the table: the amount owed goes from $2.50 to $4.75, an increase of $2.25, as the miles increase from 1 to 2, an increase of 1 mile. The same $2.25 increase occurs for each additional mile, so the rate of change is $2.25 per mile. The correct choice is “Yes, because the amount owed changes by 2.25 every time the miles change by 1.”

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